5482371600 has 270 divisors, whose sum is σ = 19765550090. Its totient is φ = 1461265920.

The previous prime is 5482371553. The next prime is 5482371617. The reversal of 5482371600 is 61732845.

5482371600 is a `hidden beast` number, since 5 + 48 + 2 + 3 + 7 + 1 + 600 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1113690384 + 4368681216 = 33372^2 + 66096^2 .

It is a tau number, because it is divible by the number of its divisors (270).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 2623356 + ... + 2625444.

Almost surely, 2^5482371600 is an apocalyptic number.

5482371600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5482371600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9882775045).

5482371600 is an abundant number, since it is smaller than the sum of its proper divisors (14283178490).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5482371600 is an equidigital number, since it uses as much as digits as its factorization.

5482371600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2131 (or 2099 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 5482371600 is about 74043.0388355313. The cubic root of 5482371600 is about 1763.2862585202.

The spelling of 5482371600 in words is "five billion, four hundred eighty-two million, three hundred seventy-one thousand, six hundred".